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The velocity potential and the interacting force for two spheres moving perpendicularly to the line joining their centers
 L. Li,
 W. W. Schultz,
 H. Merte Jr.
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The velocity potential around two spheres moving perpendicularly to the line joining their centers is given by a series of spherical harmonics. The appropriateness of the truncation is evaluated by determining the residual normal surface velocity on the spheres. In evaluating the residual normal velocity, a recursive procedure is constructed to evaluate the spherical harmonics to reduce computational effort and truncation error as compared to direct transformation or numerical integration. We estimate the lift force coefficient for touching spheres to be 0.577771, compared to the most accurate earlier estimate of 0.51435 by Miloh (1977).
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 Title
 The velocity potential and the interacting force for two spheres moving perpendicularly to the line joining their centers
 Journal

Journal of Engineering Mathematics
Volume 27, Issue 2 , pp 147160
 Cover Date
 19930501
 DOI
 10.1007/BF00127479
 Print ISSN
 00220833
 Online ISSN
 15732703
 Publisher
 Kluwer Academic Publishers
 Additional Links
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 Authors

 L. Li ^{(1)}
 W. W. Schultz ^{(1)}
 H. Merte Jr. ^{(1)}
 Author Affiliations

 1. Department of Mechanical Engineering, University of Michigan, 481092125, Ann Arbor, Michigan, USA